125320556547600 has 240 divisors, whose sum is σ = 402089627950080. Its totient is φ = 33365066918400.

The previous prime is 125320556547581. The next prime is 125320556547619. The reversal of 125320556547600 is 6745655023521.

It is an interprime number because it is at equal distance from previous prime (125320556547581) and next prime (125320556547619).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2191235005 + ... + 2191292195.

It is an arithmetic number, because the mean of its divisors is an integer number (1675373449792).

Almost surely, 2^{125320556547600} is an apocalyptic number.

125320556547600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125320556547600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201044813975040).

125320556547600 is an abundant number, since it is smaller than the sum of its proper divisors (276769071402480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125320556547600 is a wasteful number, since it uses less digits than its factorization.

125320556547600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60118 (or 60107 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 51.

The spelling of 125320556547600 in words is "one hundred twenty-five trillion, three hundred twenty billion, five hundred fifty-six million, five hundred forty-seven thousand, six hundred".